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Finding the Third Proportional to 202,387 and 445,523

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Solution

The third proportional to 202,387 and 445,523 is: 980,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,387 : 445,523 = 445,523 : x
  2. Step 2: Convert to fraction form
    202,387/445,523 = 445,523/x
  3. Step 3: Cross multiply
    202,387x = 445,523 × 445,523
  4. Step 4: Simplify right side
    202,387x = 198,490,743,529
  5. Step 5: Solve for x
    x = 198,490,743,529/202,387
  6. Step 6: Final answer
    x = 980,748.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.